Application of Statistical Concepts in the Determination of Weight Variation in Samples

APPLICATION OF STATISTICAL CONCEPTS IN THE DETERMINATION OF WEIGHT VARIATION IN SAMPLES

P. GLORIA1 and R. CRUZ2

1INSTITUTE OF BIOLOGY, COLLEGE OF SCIENCE

2INSTITUTE OF BIOLOGY, COLLEGE OF SCIENCE

UNIVERSITY OF THE PHILIPPINES, DILIMAN, QUEZON CITY 1101, PHILIPPINES

DATE SUBMITTED: 4 FEBRUARY 2015

DATE PERFORMED: 30 JANUARY 2015

-------------------------------------------------

ANSWERS TO QUESTIONS

1. Give the significance of Grubb’s Test.

Grubb’s test identifies whether a value with the largest deviation from the mean, called the outlier, should be rejected or not in the data set (University of Toronto, 2008). The results from the test will only be true when the data set has a normal distribution or Gaussian type.

2. Give the significance of the mean and the standard deviation.

The mean is one of the three measures of central tendency. It tells the average of the data set and tries to illustrate the central value in with which values from the same data set can be found on the left and the right of the mean. From this line of thought, the standard deviation tells the ‘spread’ of values from the mean. It is the measure of dispersion or how far away the values are from the mean. Thus, it is a measure of precision.

3. Give the significance of the confidence interval.

The confidence interval is an estimated which is likely to include an unknown parameter. It is an interval, within a specified confidence level, in which a value will be acceptable or tolerable to be inside a given parameter. For example, a value of 10 which has a confidence interval of plus/minus 0.5 can take values ranging from 9.5 to 10.5. It is affected by the confidence level because as this increase, the interval also widens which makes a certain value freely land on a larger interval.

4. How do the statistics calculated from data set 1 differ from those obtained from data set 2?

The statistics between the data set vary greatly because of the...